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Synopsis
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells (in an approximate but well-defined sense) how many primes can be found that are less than any integer. The prime number theorem tells what this formula is and it is indisputably one of the the great classical theorems of mathematics. This textbook introduces the prime number theorem and is suitable for advanced undergraduates and beginning graduate students. The author deftly shows how analytical tools can be used in number theory to attack a 'real' problem.
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Book Description
The prime numbers appear to be distributed in a very irregular way amongst the integers, but the prime number theorem provides a simple formula that tells us (in an approximate but well-defined sense) how many primes we can expect to find that are less than any integer we might choose. This is indisputably one of the the great classical theorems of mathematics. Suitable for advanced undergraduates and beginning graduates, this textbook demonstrates how the tools of analysis can be used in number theory to attack a famous problem.
Review
"...strongly recommended to those wishing to teach some analytic number theory at the undergraduate level." Mathematical Reviews
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The Prime Number Theorem
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Cambridge University Press, 2003
ISBN 10: 0521891108
ISBN 13: 9780521891103
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The Prime Number Theorem
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ISBN 10: 0521891108
ISBN 13: 9780521891103
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The Prime Number Theorem
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Cambridge University Press, 2004
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ISBN 13: 9780521891103
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The Prime Number Theorem (London Mathematical Society Student Texts, Series Number 53)
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ISBN 10: 0521891108
ISBN 13: 9780521891103
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The Prime Number Theorem
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The Prime Number Theorem (London Mathematical Society Student Texts, 53).
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ISBN 10: 0521891108
ISBN 13: 9780521891103
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The Prime Number Theorem (London Mathematical Society Student Texts, Series Number 53)
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ISBN 10: 0521891108
ISBN 13: 9780521891103
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The Prime Number Theorem (London Mathematical Society Student Texts, Series Number 53)
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ISBN 13: 9780521891103
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The Prime Number Theorem (London Mathematical Society Student Texts, Series Number 53)
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